Density of Morse functions on sets definable in o-minimal structures

Ta Lê Loi. "Density of Morse functions on sets definable in o-minimal structures." Annales Polonici Mathematici 89.3 (2006): 289-299. <http://eudml.org/doc/280995>.

@article{TaLêLoi2006,
abstract = {We present a tameness property of sets definable in o-minimal structures by showing that Morse functions on a definable closed set form a dense and open subset in the space of definable $C^p$ functions endowed with the Whitney topology.},
author = {Ta Lê Loi},
journal = {Annales Polonici Mathematici},
keywords = {o-minimal structures; Morse functions},
language = {eng},
number = {3},
pages = {289-299},
title = {Density of Morse functions on sets definable in o-minimal structures},
url = {http://eudml.org/doc/280995},
volume = {89},
year = {2006},
}

TY - JOUR
AU - Ta Lê Loi
TI - Density of Morse functions on sets definable in o-minimal structures
JO - Annales Polonici Mathematici
PY - 2006
VL - 89
IS - 3
SP - 289
EP - 299
AB - We present a tameness property of sets definable in o-minimal structures by showing that Morse functions on a definable closed set form a dense and open subset in the space of definable $C^p$ functions endowed with the Whitney topology.
LA - eng
KW - o-minimal structures; Morse functions
UR - http://eudml.org/doc/280995
ER -